Addition and Subtraction of Fractions

When adding or subtracting fractions, it's important to ensure that the fractions have a common denominator. Here are the steps to follow:

Adding Fractions

1. Find a common denominator for the fractions.
2. Convert each fraction so they have the common denominator.
3. Add the numerators together, keeping the common denominator the same.
4. Simplify the resulting fraction if needed.

Subtracting Fractions

1. Find a common denominator for the fractions.
2. Convert each fraction so they have the common denominator.
3. Subtract the numerators, keeping the common denominator the same.
4. Simplify the resulting fraction if needed.

Example:

Let's add the fractions 1/4 and 1/3:

First, find the common denominator, which is 12. Then, convert each fraction:

1/4 = 3/12 (multiply both the numerator and denominator by 3)

1/3 = 4/12 (multiply both the numerator and denominator by 4)

Now, add the numerators together:

3/12 + 4/12 = 7/12

So, 1/4 + 1/3 = 7/12

Subtraction Example:

Let's subtract the fractions 3/5 and 1/10:

First, find the common denominator, which is 10. Then, convert each fraction:

3/5 = 6/10 (multiply both the numerator and denominator by 2)

1/10 = 1/10

Now, subtract the numerators:

6/10 - 1/10 = 5/10 = 1/2

So, 3/5 - 1/10 = 1/2

Remember, practice is key to mastering addition and subtraction of fractions. With enough practice, you'll become more comfortable and proficient in working with fractions.